competitive firms and the cost function

(a) Find the equilibrium
i. output of each firm
ii. price
iii. market quantity
iv. Number of firms (throughout this question ignore the indivisibility problem that the number of firms must in reality be a whole number)

(b) Suppose the government imposes a fixed tax L per firm (e.g. A licensing fee). Explain the impact of this tax on the following variables
i. output of each firm
ii. price
iii. market quantity
iv. Number of firms

(c) Suppose the government imposes a fixed tax t per unit quantity on each firm. Explain the impact of this tax on the following variables
i. output of each firm
ii. price
iii. market quantity
iv. Number of firms

(d) Suppose the government imposes a price ceiling of 10 dollars. Determine the short run impact of this price ceiling on the following variables
i. output of each firm
ii. price
iii. market quantity
iv. Number of firms

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You are the manager of a monopolistically competitive firm. The present demand curve you face is P=100-4Q. Your costfunction is C(Q)=50+8.5Q2 (That's Q squared).
a. What level of output should you choose to maximize profits?
b. What price should you charge?
c. What will happen in your market in the long run? Explain.

Suppose that the total costfunction for a single firm in a purely competitive industry is given by the following equation:
TC = $5,625 + $5Q + $0.01Q2
Because this industry is purely competitive in nature, each firm behaves as a price taker and market price is given at $20 per unit (so that P = MR = $20). Finally, assume

The market for fertilizer is perfectly competitive. Firms in the market are producing output, but are currently making economic losses.
(a) How does the price of fertilizer compare to the average total cost, the average variable cost, andthe marginal cost of producing fertilizer?
(b) Draw two graphs, side by side, illustr

Please help with the following problem. Provide step by step calculations for each problem.
1. The Alpha Company is a member of the lamp industry, which is perfectly competitive. The price of a lamp is $50. The firm's total costfunction is:
TC = 1,000 + 20Q +5Q²
Where TC is the total cost (in dolla

A FIRM IN A COMPETITIVE MARKET MODEL TENDS TO MAKE ZERO ECONOMIC PROFITS WHEN CHARGING A PROFIT MAXIMIZING PRICE AND A MONOPOLIST HAS NO LIMIT TO THE AMOUNT OF PROFITS THAT CAN BE EARNED WHEN THEY CHARGE THE PROFIT MAXIMIZING PRICE.
WHY IS THAT?

In a competitive market with a downward sloping demand curve, a tax that increases the fixed cost of every firm will:
a) reduce the number of firms supporting long run equilibrium
b) increase the long-run equilibrium price.
c) not cause the number of firms supporting long-run equilibrium to change
d) answers a and b

Firm Z, operating in a perfectly competitive market, can sell as much or as little as it wants of a good at a price of $16 per unit. Its costfunction is C=50+4Q+2Q^2. The associated marginal cost is MC=4+4Q, andthe point of minimum average cost is Qmin=5
(a). Determine the firm`s profit-maximizing level of output. Compute i